Science > Mathematics > Statistics and Probability > Probability > Problems Based on Throwing a Single Die In the last article, we have studied to solve problems based on the tossing of coins. In this article, we are going to study to solve problems based on the throwing of dice. Algorithm: Study experiment and write […]
Science > Mathematics > Statistics and Probability > Probability > Problems Based on Tossing of Coins In the last few articles, we have studied the basic concepts of probability. In this article, we are going to study problems based on the tossing of coins. Algorithm: Tossing of a Single Coin: Example 01: A fair coin […]
Science > Mathematics > Statistics and Probability > Probability > Events and Their Types In the last article, we have studied the concept of the sample space. In this article, we shall understand the concept of events in detail. Concept of Event: Any subset of a sample space is called an event. The event is […]
Science > Mathematics > Statistics and Probability > Probability > Sample Space of an Experiment In the last article, we have studied the concept of probability. In this article, we shall study to write a sample space for a given event. The Sample Space for Random Experiments: From a group of 2 boys and 3 […]
Science > Mathematics > Statistics and Probability > Probability > Concept of Probability First attempt to measure probability was done by Italian mathematician Galileo. The classical theory of probability is developed by French mathematicians B. Pascal and P. Fermat while solving a number of problems posed by a French nobleman and gambler Chevalier-de-mere. The famous […]
A sequence is a function whose domain is the set N of natural numbers. The sequence is generally denoted by a and its image is denoted by a(n) or t(n). The terms of the sequence are represented by a1, a2, a3, ….., an or t1, t2, t3, ….., tn A sequence whose range is a subset […]
In last few articles, we have studied arithmetic progression. In this article, we shall study geometric progression (G.P.). A sequence (tn) is said to be a geometric progression (G.P.) if the ratio tn + ! /tn = constant for all n ∈ N The constant ratio is called the common ratio of the G.P. and is denoted by letter ‘r’. […]
In the last article, we have studied the general term of an arithmetic progression. In this article, we shall study to find the sum of arithmetic progression. General Term or nth term of an Arithmetic Progression: If ‘a’ is the first term and ‘d’ is the common difference of an A.P. then the nth term is […]
In this article, we shall study series, progression, and arithmetic progression (A.P.) Series: If a1, a2, a3, ….., an. is a sequence, then the expression a1 + a2 + a3 + …..+ an is called series. Progression: It is not the case every time that the terms of sequence follow certain pattern so that a specific formula for the nth […]
In this article, we shall study different types of nuclear reactions. Nuclear Reactions: A reaction in which there is a change in the composition of the nucleus is called a nuclear reaction. Characteristics of Nuclear Reactions: There is a change in the composition of the nucleus. In nuclear reaction rearrangement of nucleons ( constituents of […]